Capacity bounds for peak-constrained multiantenna wideband channels


Ulrich G. Schuster, Giuseppe Durisi, Helmut Bölcskei, and H. Vincent Poor


Proc. of IEEE International Symposium on Information Theory (ISIT), Toronto, ON, Canada, pp. 1582-1586, July 2008

DOI: 10.1109/ISIT.2008.4595254

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This paper presents bounds on the noncoherent capacity of a very general multiple-input multiple-output channel, which allows for selectivity in time and frequency as well as for spatial correlation. The bounds apply to peak-constrained inputs; they are explicit in the channel's scattering function, are useful for a large range of bandwidth, and allow one to coarsely identify the capacity-optimal combination of bandwidth and number of transmit antennas. Furthermore, a closed-form expression is obtained for the first-order Taylor series expansion of capacity in the limit of infinite bandwidth. From this expression, it is concluded that in the wideband regime: (i) it is optimal to use only one transmit antenna when the channel is spatially uncorrelated; (ii) rank-one statistical beamforming is optimal if the channel is spatially correlated; and (iii) spatial correlation, be it at the transmitter, the receiver, or both, is beneficial.

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